Answered

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Which circuits correctly show Ohm's law?

A. 25V, 5A, 5 ohm
B. 56V, 7A, 8 ohm
C. 18V, 6A, 3 ohm
D. 20V, 5A, 4 ohm

Sagot :

GinnyAnswer
Sure! Let's analyze each circuit step-by-step to determine if they correctly follow Ohm's Law, which states that [tex]\( V = I \times R \)[/tex]. We'll look at each given voltage (V), current (I), and resistance (R) combination to see if the relation holds true.

### Circuit 1
- Voltage (V): 25V
- Current (I): 5A
- Resistance (R): 5 ohms

Using Ohm's Law:
[tex]\[ V = I \times R \][/tex]
[tex]\[ 25 = 5 \times 5 \][/tex]
[tex]\[ 25 = 25 \][/tex]

This circuit follows Ohm's Law.

### Circuit 2
- Voltage (V): 56V
- Current (I): 7A
- Resistance (R): 5 ohms

Using Ohm's Law:
[tex]\[ V = I \times R \][/tex]
[tex]\[ 56 = 7 \times 5 \][/tex]
[tex]\[ 56 = 35 \][/tex]

This circuit does NOT follow Ohm's Law.

### Circuit 3
- Voltage (V): 18V
- Current (I): 5A
- Resistance (R): 8 ohms

Using Ohm's Law:
[tex]\[ V = I \times R \][/tex]
[tex]\[ 18 = 5 \times 8 \][/tex]
[tex]\[ 18 = 40 \][/tex]

This circuit does NOT follow Ohm's Law.

### Circuit 4
- Voltage (V): 20V
- Current (I): 6A
- Resistance (R): 4 ohms

Using Ohm's Law:
[tex]\[ V = I \times R \][/tex]
[tex]\[ 20 = 6 \times 4 \][/tex]
[tex]\[ 20 = 24 \][/tex]

This circuit does NOT follow Ohm's Law.

### Summary
From our analysis, the only circuit that correctly shows Ohm's Law is Circuit 1.
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